Unit: Understanding Structure of Expressions Chapter: Rational Expressions Reference: – Definition of Rational Expressions, Domain Restrictions in Rational Expressions, Simplifying Rational Expressions, Multiplication of Rational Expressions, Division of Rational Expressions, Addition of Rational Expressions, Subtraction of Rational Expressions, Complex Rational Expressions, Finding Least Common Denominator (LCD), Solving Equations Involving Rational Expressions, Applications of Rational Expressions, […]
Unit: Polynomials Chapter: Division Algorithm Reference: – Basic Division of Algebraic Expressions, Dividing Monomials, Dividing Polynomials by Monomials, Dividing Polynomials by Polynomials, Algebraic Fractions and Division, Remainder and Factor Theorem After studying this chapter, you should be able to understand: Basic Division of Algebraic Expressions Dividing Polynomials by Monomials & Polynomials Algebraic Fractions and Division […]
Unit: Polynomials Chapter: Factorization of Polynomials Reference: – Introduction to standard identities, Square of a binomial (sum form), Square of a binomial (difference form), Difference of squares identity, Cube of a binomial (sum form), Cube of a binomial (difference form), Verification of identities, Application in simplification, Application in factorization, Use of identities in algebraic equations […]
Unit: Polynomials Chapter: Understanding Zeros of Polynomials, Geometric Meaning and Relationship between Zeroes and Coefficients Reference: – Understanding multiplication of monomials, multiplying a monomial with a binomial, multiplying a monomial with a polynomial, applying distributive property in multiplication, multiplying two binomials using FOIL method, multiplying binomials and trinomials, multiplying two polynomials, Identifying and simplifying like […]
Unit: Polynomials Chapter: Introduction & Properties of Polynomials Reference: – Definition and Structure of Algebraic Expressions, Like and Unlike Terms, Addition and Subtraction of Algebraic Expressions, Multiplication of Algebraic Expressions, Standard Algebraic Identities, Application of Identities in Simplification, Verification of Algebraic Identities, Substitution in Expressions, Real-life Application of Expressions and Identities, Formation of Algebraic Expressions […]
Unit: Real world equations Chapter: Rearranging Equations, Identifying Constraints, and Building Equations Reference: – Understanding Literal Equations, Techniques for Rearranging Equations, Building Equations from Word Problems, Identifying Mathematical Constraints, Domain Constraints in Real-World Contexts, Range Constraints in Real-World Problems, Handling Inequalities While Rearranging, Function Form from Rearranged Equations, Application of Inverse Operations, Dealing with Nonlinear […]
Unit: Functions Chapter: Construction of Composite Functions Reference: – Definition of Composite Functions, Notation for Composite Functions, Order of Composition, Evaluating Composite Functions Numerically, Evaluating Composite Functions Algebraically, Domain Considerations in Composite Functions, Range Considerations in Composite Functions, Graphical Representation of Composite Functions, Inverse Functions and Composite Functions, Restrictions in Composition Due to Domains, Piecewise […]
Unit: Functions Chapter: Function Operations & Constructions Reference: – Definition of Domain, Definition of Range, Identifying Domain from an Equation, Identifying Range from an Equation, Domain and Range from Ordered Pairs, Domain and Range from a Graph, Interval Notation for Domain and Range, Set Notation for Domain and Range, Domain Restrictions, Range Limitations Based on […]
Unit: Functions Chapter: Notation of Functions Reference: – Definition of a Function, Function Notation, Evaluating a Function, Domain of a Function, Range of a Function, Independent and Dependent Variables, Multiple Function Notations, Piecewise Function Notation, Arithmetic with Functions, Composite Function Notation, Implicit vs. Explicit Function Notation, Function as a Mapping Rule, Inverse Function Notation After […]